Abstract
The precise knowledge of the values of the optical constants (index of refraction, n, and extinction coefficient, k) for nanostructured porous silicon (nanoPS) is a necessary condition to predict the behavior of any optical and photonic devices based on this material. With this objective in mind, a simulation computational program based on the matrix method was used to determine the values of the optical constants in the visible range of self-standing nanoPS films from their experimental reflectance and transmittance spectra. Furthermore, the spectral absorption coefficient (α) was determined from the spectral k values, which motivated to the determination of the values and type of bandgap (direct or indirect) for different porosities.
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References
Ramadan R, Abdel-Hady K, Manso-Silván M, Torres-Costa V, Martín-Palma RJ (2019) Microwave plasma and rapid thermal processing of indium-tin oxide thin films for enhancing their performance as transparent electrodes. J Photo Energy 9(3):034001
Reichelt K, Jiang X (1990) The preparation of thin films by physical vapour deposition methods. Thin Solid Films 191(1):91–126
Pentia E, Pintilie L, Matei I, Botila T, Pintilie I (2003) Combined chemical–physical methods for enhancing IR photoconductive properties of PbS thin films. Infrared Phys Technol 44(3):207–211
Kutavichus VP, Filippov VV, Huzouski VH (2006) Determination of optical parameters and thickness of weakly absorbing thin films from reflectance and transmittance spectra. Appl Opt 45(19):4547–4553
Vedam K, Knausenberger W, Lukes F (1969) Ellipsometric method for the determination of all the optical parameters of the system of an isotropic nonabsorbing film on an isotropic absorbing substrate. Optical constants of silicon, JOSA 59(1):64–71
Ramadan R, Torres-Costa V, Martín-Palma RJ (2021) Self-powered broadband hybrid organic–inorganic photodetectors based on PEDOT: PSS and silicon micro-nanostructures. J Mater Chem C 9(13):4682–4694
Ramadan R, Rodriguez C, Torres-Costa V, Pini V, Palma RJM, Cebrián V, Membibre RC, Ahumada O, Silván MM (2021) Bringing immuno-assemblies to optoelectronics: sandwich assay integration of a nanostructured porous-silicon/gold-nanoparticle phototransistor. Mater Sci Eng, B 271:115271
Ramadan R, Manso-Silván M, Martín-Palma RJ (2020) Hybrid porous silicon/silver nanostructures for the development of enhanced photovoltaic devices. J Mater Sci 55(13):5458–5470
Canham L (2018) Routes of formation for porous silicon, Handbook of Porous Silicon, 2nd ed.; Springer: Berlin/Heidelberg, Germany 1 3–11
Ramadan R, Martín-Palma RJ (2020) Effect of electrolyte pH value and current density on the electrodeposition of silver nanoparticles into porous silicon. J Nanophotonics 14(4):040501
Torres-Costa V, Martín-Palma R (2010) Application of nanostructured porous silicon in the field of optics. A review, J Mater Sci 45(11):2823–2838
Naderi N, Hashim M (2012) A combination of electroless and electrochemical etching methods for enhancing the uniformity of porous silicon substrate for light detection application. Appl Surf Sci 258(17):6436–6440
Ohmukai M, Okada K, Tsutsumi Y (2005) Patterned porous silicon formed with photolithography. J Mater Sci: Mater Electron 16(2):119–121
Martín-Palma RJ, Martinez-Duart J, Macleod A (2000) Determination of the optical constants of a semiconductor thin film employing the matrix method. IEEE Trans Educ 43(1):63–68
Martín-Palma RJ, McAtee PD, Ramadan R, Lakhtakia A (2019) Hybrid nanostructured porous silicon-silver layers for wideband optical absorption. Sci Rep 9(1):1–8
Palik ED (1998) Handbook of optical constants of solids, Academic press1998
Bueno R, Trigo J, Martínez-Duart J, Elizalde E, Sanz J (1995) Study of the optical constants determination of thin films: dependence on theoretical assumptions. J Vac Sci Technol, A: Vac, Surf Films 13(5):2378–2383
Berman D, Guha S, Lee B, Elam JW, Darling SB, Shevchenko EV (2017) Sequential infiltration synthesis for the design of low refractive index surface coatings with controllable thickness. ACS Nano 11(3):2521–2530
Alquran MK, Bejugam V. Assessment of the Enhancement for the Excitation Emission in Porous GaN Using Photoluminescence
Tauc J, Grigorovici R, Vancu A (1966) Optical properties and electronic structure of amorphous germanium, physica status solidi (b) 15(2), 627–637
Collings PJ (1980) Simple measurement of the band gap in silicon and germanium. Am J Phys 48(3):197–199
Mortezaali A, Sani SR, Jooni FJ (2009) Correlation between porosity of porous silicon and optoelectronic properties. J Non-Oxide Glasses 1:293–299
Dzhafarov T, Yuksel SA (2011) Nano-porous silicon-based mini hydrogen fuel cells, book: Alternative Fuel.—Rijeka: Intech, 309–346
Acknowledgements
The authors are thankful to Mr. Luis García Pelayo and Dr. Valentin Constantin Nistor for technical support. This work was partially supported by Fundación de la Universidad Autónoma de Madrid (FUAM) and Minia University, Egypt.
Funding
This research was partially funded by Universidad Autónoma de Madrid, FPI-UAM grant and by the Egyptian Ministry of Higher Education, Missions Section under Egyptian Joint Supervision Grant.
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R. Ramadan: Conceptualization (equal); formal analysis (equal); funding acquisition (equal); investigation (lead); methodology (lead); project administration (supporting); visualization (lead); writing – original draft (equal); writing – review and editing (equal). R. J. Martin-Palma: Conceptualization (equal); formal analysis (equal); funding acquisition (lead); Software (lead); project administration (lead); resources (lead); supervision (lead); visualization (supporting); writing – original draft (equal); writing – review and editing (equal).
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Ramadan, R., Martín-Palma, R.J. Precise Calculation of the Optical Constants of Self-standing Nanoporous Silicon Layers. Silicon 15, 4391–4395 (2023). https://doi.org/10.1007/s12633-023-02358-x
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DOI: https://doi.org/10.1007/s12633-023-02358-x